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The space of invariants of a tensor product of representations of SL(n) is provided with the basis parametrized by wave graphs introduced here especially for this purpose. The proof utilizes a game similar to Tetris, named here L-tris.

表示论 · 数学 2007-05-23 Aleksandrs Mihailovs

In this paper, we study the reciprocal sums of the Jacobsthal numbers. We establish many results on the infinite sum and alternating infinite sum of the reciprocals of Jacobsthal numbers and square Jacobsthal numbers.

数论 · 数学 2022-07-27 Ahmed Gaber

The Maxwell equations with accounting for tensors properties of time have been considered. The effects that follow from such consideration are described. These are the appearance of vacuum polarization, anisotropy of electromagnetic wave…

光学 · 物理学 2007-06-19 R. Vlokh , O. Kvasnyuk

We show that positive stable densities are bell-shaped, that is their n-th derivatives vanish exactly n times on (0,+oo) and have an alternating sign sequence. This confirms the graphic predictions of Holt and Crow (1973) in the positive…

概率论 · 数学 2013-02-06 Thomas Simon

We discuss the (twisted) weak positivity theorem. We also treat some applications.

代数几何 · 数学 2015-07-03 Osamu Fujino

Equations of motion of spinning density for extended objects, and corresponding deviation equations are derived. The problem of motion for a variable mass to a spinning extended object is obtained. Spinning fluids may be considered as a…

广义相对论与量子宇宙学 · 物理学 2023-06-28 Magd E. Kahil , Samah A. Ammar , Shymaa A. Refaey

We are concerned with the tensor equation with an M-tensor or Z-tensor, which we call the M- tensor equation or Z-tensor equation respectively. We derive a necessary and sufficient condition for a Z (or M)-tensor equation to have…

最优化与控制 · 数学 2018-12-27 Dong-Hui Li , Hong-Bo Guan , Xiao-Zhou Wang

This chapter studies the problem of decomposing a tensor into a sum of constituent rank one tensors. While tensor decompositions are very useful in designing learning algorithms and data analysis, they are NP-hard in the worst-case. We will…

数据结构与算法 · 计算机科学 2020-07-31 Aravindan Vijayaraghavan

Deformed Reissner-Nordstr\"om, as well as Reissner-Nordstr\"om de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to…

高能物理 - 理论 · 物理学 2008-11-26 M. Chaichian , M. R. Setare , A. Tureanu , G. Zet

The class of the Riemannian almost product manifolds with nonintegrable structure is considered. Some identities for curvature tensor as certain invariant tensors and quantities are obtained.

微分几何 · 数学 2009-07-14 Dimitar Mekerov

This review analyzes and compares two consequences of strong decoherence: The quantum Zeno effect and macroscopic motion described by master equations.

量子物理 · 物理学 2007-05-23 Erich Joos

In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.

经典分析与常微分方程 · 数学 2018-06-12 G. Tutberidze

By considering the nilpotent Lie algebra with the derived subalgebra of dimension $ 2$, we compute some functors include the Schur multiplier, the exterior square and the tensor square of these Lie algebras. We also give the corank of such…

环与代数 · 数学 2021-05-21 Farngis Johari , Peyman Niroomand

The properties of Kaehler submanifolds with recurrent the second fundamental form in spaces of constant holomorphic sectional curvature are being studied in this article.

微分几何 · 数学 2010-01-29 Irina I. Bodrenko

Using elliptic regularity results in weighted spaces, stochastic calculus and the theory of non-symmetric Dirichlet forms, we first show weak existence of non-symmetric distorted Brownian motion for any starting point in some domain $E$ of…

概率论 · 数学 2016-11-16 Michael Röckner , Jiyong Shin , Gerald Trutnau

The importance of the tensor force for nuclear structure has been recognized long ago. Recently, the interest for this topic has been revived by the study of the evolution of nuclear properties far from the stability line. However, in the…

核理论 · 物理学 2015-06-18 Hiroyuki Sagawa , Gianluca Colò

We give a conjugacy relation on certain type of Frobenius manifold structures using the theory of flat pencils of metrics. It leads to a geometric interpretation for the inversion symmetry of solutions to Witten-Dijkgraaf-Verlinde-Verlinde…

微分几何 · 数学 2022-09-28 Zainab Al-Maamari , Yassir Dinar

We derive the electric and magnetic form factors of the neutron in the framework of a relativistic constituent quark model. Our parameter free prediction agrees well with a recent, accurate measurement. The relativistic features of the…

高能物理 - 唯象学 · 物理学 2015-06-25 Felix Schlumpf

We provide a geometric characterisation of binary sextics with vanishing quadratic invariant.

微分几何 · 数学 2016-08-03 Maciej Dunajski , Roger Penrose

In this paper, we study vanishing of Fourier coefficients of holomorphic $\eta$-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral…

数论 · 数学 2024-11-12 Kathrin Bringmann , Guoniu Han , Bernhard Heim , Ben Kane